On the attractor of one-dimensional infinite iterated function systems

被引：2

作者：

Mantica, Giorgio ^{[1
,2
]}

机构：

[1] Univ Insubria, Ctr Non Linear & Complex Syst, Dept Sci & High Technol, I-22100 Como, Italy

[2] Univ Insubria, Dept Sci & High Technol, NFN Sez Milano, CNISM Unit Como, I-22100 Como, Italy

来源：

INTERNATIONAL JOURNAL OF APPLIED NONLINEAR SCIENCE | 2013年 / 1卷 / 01期

关键词：

iterated function systems; IFS; attractors; second generation IFS;

D O I：

10.1504/IJANS.2013.052767

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the attractor of iterated function systems composed of infinitely many affine, homogeneous maps. In the special case of second generation IFS, defined herein, we conjecture that the attractor consists of a finite number of non-overlapping intervals. Numerical techniques are described to test this conjecture, and a partial rigorous result in this direction is proven.

引用

页码：87 / 99

页数：13

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